Result Details

Pre-orders and Orders Generated by Conjunctive Uninorms

HLINĚNÁ, D.; KRÁĽ, P.; KALINA, M. Pre-orders and Orders Generated by Conjunctive Uninorms. In 15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems. Communications in Computer and Information Science. 2014. no. 444, p. 307-316. ISSN: 1865-0929.
Type
conference paper
Language
English
Authors
Hliněná Dana, doc. RNDr., Ph.D., UMAT (FEEC)
Kráľ Pavol, RNDr., PhD.
Kalina Martin, Doc. RNDr., CSc., UMAT (FEEC)
Abstract

This paper is devoted to studying of (pre-)orders of the unit interval generated by uninorms. We present properties of such generated pre-orders. Further we give a condition under which the generated relation is just a pre-order, i.e., under which it is not anti-symmetric. We present also a new type of uninorms, which is interesting from the point of view of generated pre-orders.

Keywords

Uninorm, non-representable uninorm, generated pre-order, twisted minimum, twisted maximum

Published
2014
Pages
307–316
Journal
Communications in Computer and Information Science, vol. 2014, no. 444, ISSN 1865-0929
Proceedings
15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems
Conference
15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems
DOI
10.1007/978-3-319-08852-5_32
UT WoS
000345123400032
EID Scopus
2-s2.0-84905006422
BibTeX 
@inproceedings{BUT111831,
  author="Dana {Hliněná} and Pavol {Kráľ} and Martin {Kalina}",
  title="Pre-orders and Orders Generated by Conjunctive Uninorms",
  booktitle="15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems",
  year="2014",
  journal="Communications in Computer and Information Science",
  volume="2014",
  number="444",
  pages="307--316",
  doi="10.1007/978-3-319-08852-5\{_}32",
  issn="1865-0929"
}
Departments
Department of Mathematics (UMAT)
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